Pith Number

pith:LONJLWX5

pith:2023:LONJLWX5YI5X5FTYQTPCPMTO4V

not attested not anchored not stored refs pending

Improved bounds for five-term arithmetic progressions

Ashwin Sah, James Leng, Mehtaab Sawhney

arxiv:2312.10776 v2 · 2023-12-17 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LONJLWX5YI5X5FTYQTPCPMTO4V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Reasonable Bounds for Combinatorial Lines of Length Three

Receipt and verification

First computed	2026-07-05T08:06:26.943016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9a95dafdc23b7e967884de27b26ee569c3cc5459d3d2b47632e1f6c58a099a

Aliases

arxiv: 2312.10776 · arxiv_version: 2312.10776v2 · doi: 10.48550/arxiv.2312.10776 · pith_short_12: LONJLWX5YI5X · pith_short_16: LONJLWX5YI5X5FTY · pith_short_8: LONJLWX5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LONJLWX5YI5X5FTYQTPCPMTO4V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5b9a95dafdc23b7e967884de27b26ee569c3cc5459d3d2b47632e1f6c58a099a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "719df14d885f9b505253ae0ce9a5fc7b5f9ca12944860bc5e453196ea3b9be1a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-17T17:53:11Z",
    "title_canon_sha256": "bedfaf4f8ab6e656f0b67401d0c38406bc14b5bb0c159b32685d5a1a189d6376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10776",
    "kind": "arxiv",
    "version": 2
  }
}